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Monotonic functions
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Classroom Contents
Isotonic Regression in General Dimensions – Richard Samworth, University of Cambridge
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- 1 Intro
- 2 Isotonic regression
- 3 Multidimensional covariance
- 4 Natural partial ordering
- 5 Independent observations
- 6 Dijkstras algorithm
- 7 Work on isotonic regression
- 8 Fixed lattice design
- 9 Least squares estimator
- 10 Bound the risk
- 11 Statistical dimension
- 12 Antichain
- 13 Global empirical risk minimization
- 14 Adaptation
- 15 Lower bound
- 16 Monotonic functions
- 17 Random design
- 18 Random design results
- 19 The adage carry theorem
- 20 Summary
